Altitudes, Medians, & Centers

Front

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

Back

12

Front

X is the centroid of the triangle. If AZ = 9, find XZ.

Back

3

Front

The centroid of a triangle is ____________ of the distance from each vertex to the midpoint of the opposite side.

Back

two-thirds

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

Front

The altitudes of a triangle intersect at the _________________________.

Back

Orthocenter

Front

What is the definition of a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

What is the definition of an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the point of concurrency of the altitudes of a triangle called?

Back

Orthocenter

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

How many medians can a triangle have?

Back

A triangle has three medians.